Atkin-Lehner |
11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
98549a |
Isogeny class |
Conductor |
98549 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
24528550453 = 115 · 173 · 31 |
Discriminant |
Eigenvalues |
0 -1 2 3 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3547,82153] |
[a1,a2,a3,a4,a6] |
Generators |
[23:110:1] |
Generators of the group modulo torsion |
j |
1004807684096/4992581 |
j-invariant |
L |
4.9184983293868 |
L(r)(E,1)/r! |
Ω |
1.202379443535 |
Real period |
R |
2.0453187040321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98549h1 |
Quadratic twists by: 17 |